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Finding the Fourth Proportional to 7,136.56, 9,848.48 and 3,906.38

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Solution

The fourth proportional to 7,136.56, 9,848.48 and 3,906.38 is: 5,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.56 : 9,848.48 = 3,906.38 : x
  2. Step 2: Convert to fraction form
    7,136.56/9,848.48 = 3,906.38/x
  3. Step 3: Cross multiply
    7,136.56x = 9,848.48 × 3,906.38
  4. Step 4: Simplify right side
    7,136.56x = 38,471,932.37
  5. Step 5: Solve for x
    x = 38,471,932.37/7,136.56
  6. Step 6: Final answer
    x = 5,390.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.